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Finding the Fourth Proportional to 119,423.48, 164,800.31 and 65,708.06

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Solution

The fourth proportional to 119,423.48, 164,800.31 and 65,708.06 is: 90,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,423.48 : 164,800.31 = 65,708.06 : x
  2. Step 2: Convert to fraction form
    119,423.48/164,800.31 = 65,708.06/x
  3. Step 3: Cross multiply
    119,423.48x = 164,800.31 × 65,708.06
  4. Step 4: Simplify right side
    119,423.48x = 10,828,707,504.96
  5. Step 5: Solve for x
    x = 10,828,707,504.96/119,423.48
  6. Step 6: Final answer
    x = 90,674.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.